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Finding the Fourth Proportional to 6,513.84, 9,772.83 and 2,130.30

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Solution

The fourth proportional to 6,513.84, 9,772.83 and 2,130.30 is: 3,196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.84 : 9,772.83 = 2,130.30 : x
  2. Step 2: Convert to fraction form
    6,513.84/9,772.83 = 2,130.30/x
  3. Step 3: Cross multiply
    6,513.84x = 9,772.83 × 2,130.30
  4. Step 4: Simplify right side
    6,513.84x = 20,819,059.75
  5. Step 5: Solve for x
    x = 20,819,059.75/6,513.84
  6. Step 6: Final answer
    x = 3,196.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.